On the Terwilliger algebras of quasi-thin Schurian association schemes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908602554384384 |
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| author | Maleki, Roghayeh Razafimahatratra, Andriaherimanana Sarobidy |
| author_facet | Maleki, Roghayeh Razafimahatratra, Andriaherimanana Sarobidy |
| contents | We give necessary and sufficient conditions for the Terwilliger algebra of a quasi-thin Schurian association scheme to coincide with: (a) the centralizer algebra of a point stabilizer of its automorphism group, and (b) its subspace $T^0$. As a by-product, a full characterization of triply-transitive quasi-thin association schemes is given. Using the latter, we provide new infinite families of triply-transitive association schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Terwilliger algebras of quasi-thin Schurian association schemes Maleki, Roghayeh Razafimahatratra, Andriaherimanana Sarobidy Combinatorics 05E30, 05E18, 20B05 We give necessary and sufficient conditions for the Terwilliger algebra of a quasi-thin Schurian association scheme to coincide with: (a) the centralizer algebra of a point stabilizer of its automorphism group, and (b) its subspace $T^0$. As a by-product, a full characterization of triply-transitive quasi-thin association schemes is given. Using the latter, we provide new infinite families of triply-transitive association schemes. |
| title | On the Terwilliger algebras of quasi-thin Schurian association schemes |
| topic | Combinatorics 05E30, 05E18, 20B05 |
| url | https://arxiv.org/abs/2510.17118 |